"Punkin Chunkin," or Pumpkin Chunking, is the sport of launching pumpkins with
cannons and other mechanical devices as far as possible. Teams that compete in these
events have names such as American Chunker Inc., Fibonacci Unlimited II, Shooda
Noed Beter, and Snot Rocket. The world record was set in 2013, when a pumpkin was
launched to a height of 2250 feet and a distance of 4500 feet (measurements have been
rounded for simplicity). Assume the motion of the pumpkin was symmetrical. Write a
quadratic equation to relate the vertical displacement y, with the horizontal displacement
x. How high was the pumpkin when it was 1000 ft away?